cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A176797 Antiharmonic means of divisors of antiharmonic numbers.

Original entry on oeis.org

1, 3, 7, 11, 13, 21, 21, 43, 35, 43, 61, 63, 85, 111, 77, 157, 91, 129, 119, 147, 185, 171, 273, 183, 255, 343, 231, 301, 245, 255, 333, 313, 507, 301, 455, 481, 521, 425, 471, 547, 473, 455, 813, 441, 931, 629, 559
Offset: 1

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Author

Jaroslav Krizek, Apr 26 2010

Keywords

Comments

Values of sigma_2(n) / sigma(n) corresponding to terms of A020487(n), where sigma_2(n) is the sum of squares of divisors of n (A001157) and sigma(n) is the sum of the divisors of n (A000203).

Examples

			For n = 4; a(4) = 11 because A020487(4) = 16; A001157(16) = 341, A000203(n) = 31, antiharmonic means of divisors of 16 = 341 / 31 = 11.
		

Programs

  • Mathematica
    Select[DivisorSigma[2, #]/DivisorSigma[1, #] & /@ Range[1000], IntegerQ] (* Amiram Eldar, Sep 18 2019 *)

Formula

a(n) = (A001157(A020487(n))) / (A000203(A020487(n))).